Five dimensional 2-branes from special Lagrangian wrapped M5-branes

We present an ansatz for black 2-branes in five dimensional N=2 supergravity theory that carry magnetic charge with respect to general hypermultiplet scalars. We find explicit solutions in certain special cases and examine the constraints on the general case. These branes may be thought of as arising from M-branes by wrapping eleven dimensional supergravity over special Lagrangian calibrated cycles of a Calabi-Yau 3-fold.